Question

A ferris wheel with radius 12 m makes a revolution every 3 minutes. Find the linear (tangental) speed of a passenger. How far does a person move in a 5 minute ride?

Answer 1

The linear (tangential) speed of a passenger is 0.4188 m/s

The distance traveled by the person in 5 minutes ride is 125.64 m

Step-by-step explanation:

Given;

radius of the Ferris, r = 12 m

1 revolution per 3 minutes,
`\omega = (2\pi (radian))/(3\ (minutes)) *(1\ minute)/(60 \ seconds) = 0.0349 \ rad/s`

The linear (tangential) speed of a passenger is given by;

v = ωr

v = (0.0349)(12)

v = 0.4188 m/s

The distance traveled by the person in 5 minutes ride is given by;

d = vt

d = (0.4188)(5 x 60)

d = 125.64 m